Stresses in a Thick Plate Containing an Eccentric Spherical Cavity Under Uniaxial Tension

抄録

This paper contains a three-dimensional solution for the stresses in an elastic thick plate containing an eccentrically located spherical cavity under uniaxial tension. The solution is represented by a combination of the solution which is regular in the outside of a spherical cavity and the solution which is regular in an infinite thick plate, and is deduced with the aid of the six stress functions used in the author's previous papers. Numerical results are given for the eccentric distances c=0.25, 0.5 with the ratios of cavity diameter to plate thickness varying 0.05∼0.45 and 0.05∼0.35 respectively, and the stress distributions around a spherical cavity are shown graphically. Comparison is made between the axisymmetric solutions obtained by C. B. Ling et al. and ours.